展开 log_{10}(sqrt(1s))

解答

展开

lo g_{10} (1 s)

\frac{1}{2} lo g_{10} (s)

求解步骤

lo g_{10} (1 \cdot s)

乘以:

1 \cdot s = s

= lo g_{10} (s)

改写为

= lo g_{10} (s^{\frac{1}{2}})

使用对数运算法则:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

假定

x \geq 0

= \frac{1}{2} lo g_{10} (s)

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